One of the oldest approach in meshless methods for PDEs is the Interpolating Moving Least Squares (IMLS)
technique developed in the 1980s. Although widely accepted by users working in fields as diverse as
geoinformatics and crack dynamics I shall take a fresh look at this method and ask for the equivalent
difference operators which are generated implicitly. As it turns out, these operators are optimal only
in trivial cases and are "strange" in general. I shall try to exploit two different approaches for the
computation of these operators.

On the other hand (and very different from IMLS), Total Variation Flow (TVF) PDEs are the most recent
developments in image processing and have received much attention lately. Again I shall show that they
are able to generate "strange" discrete operators and that they easily can behave badly although they
may be properly implemented.